xDAP 7400 Terminology
- Decibel
- A logarithmic representation for the ratio of signal power in two signals. For each incremental increase of 10 decibels, the ratio increases by a power of 10. For each incremental decrease of 10 decibels, the ratio decreases by a power of 10.
- Differential
- A measurement scheme using an input amplifier having two balanced inputs: a plus input and a minus input. The amplifier responds in proportion to the difference between the plus input and minus input signals.
- Common Mode
- Voltages presented to the inputs of a differential amplifier can be decomposed into two parts, a common mode component that is halfway between the two input voltages, and a balanced differential mode component that is added or subtracted from the common mode component. When both inputs of a differential amplifier are connected to the same voltage signal, the amplifier is said to be driven in common mode. The ideal response of a differential amplifier to the common mode input component is zero.
- Common Mode Rejection (Common Mode Rejection Ratio, CMRR)
- The ratio of the signal power in the response of a differential amplifier driven in common mode to the signal power that would be observed when measuring the signal in a normal differential configuration.
- Multiplexed Sampling
- Analog to digital converters operate in a multiplexed configuration when multiple input signals are selected in succession, by a digitally-controlled analog switch, and routed to an analog-to-digital converter. This strategy allows hardware devices to process more signal channels, but a longer sampling time interval is typically necessary to allow settling time after each switching transient.
- Expansion
- A strategy employed by Microstar Laboratories to increase the number of signal channels available with multiplexed sampling.
- Resolution (Quantization)
- The number of bits available to represent a digitally captured analog signal. The first bit is able to resolve the range into two parts: the positive half and the negative half. The next bit can resolve each of these halves into two parts, an upper and lower part. Continuing this process,
N bits resolve the input range into 2N distinct and equally-spaced sub-ranges.
- Full Range
- For a converter that can produce N distinct output codes, full range is used somewhat interchangeably to mean the full set of possible output codes or to mean the corresponding differential input voltage swing required to cover all of these output codes.
- Dynamic Range
- The range of signal levels that can be distinguished from the low-level noise floor. (See Signal to Noise Ratio.)
- Conversion Ratio
- The ratio of the number of converter output codes to the input voltage range required to produce them. The ideal conversion ratio is the ratio of the number of converter output codes to the nominal input voltage range. The actual conversion ratio is the observed number of output codes divided by the voltage range that produces them. For a perfect conversion, the converter output values will exactly equal the input differential voltage times the ideal conversion ratio.
- Offset Error (Bias)
- With a differential amplifier input driven in common mode, a consistent nonzero measurement is an offset error. Calibration is effective for nulling offset errors.
- Gain Error
- After correcting for offsets, the gain error is the difference between an observed conversion ratio and the ideal conversion ratio, normalized by the ideal conversion ratio. Calibration is effective for correcting gain errors.
- Nonlinearity Error (Integral Nonlinearity Error, INL)
- Nonlinearity error can be considered the component of digitization error that does not arise from random effects. After making a best correction for gain and offset errors, any non-random differences between actual conversion results and the results predicted by the conversion ratio are nonlinearity errors. Because the converter must quantize the measurement according to the number of available bits of resolution, a nonlinearity error of at least 0.5 bits is unavoidable.
- Ground Noise (Static Noise, Background Noise, Noise Floor)
- Random effects in conversion results reflect the combined effects of quantum noise in devices, radio frequency interference, and so forth. Noise effects cause a significant portion of the errors observed in digitized measurements. Static or quiescent noise is observed by measuring a steady reference voltage during periods of relative inactivity. Dynamic ground noise, also called background noise or noise floor, is observed during periods of intensive sampling activity in the presence of changing high-level input signals.
- Signal to Noise Ratio (SNR)
- The ratio of the signal power in a full-range sinusoidal input signal to the total power in the dynamic background noise. This is a measure of how much random effects interfere with measurement accuracy in each sample. It is a best-case estimate; background noise effects tend to remain about the same level, while the signal power drops significantly as the magnitude of the signal is reduced below full scale.
- Harmonic Frequencies (Harmonic Distortion)
- Applying a nonlinear function to a pure sinusoidal input signal results in a distorted signal having additional frequencies at twice the original signal frequency, three times the original signal frequency, and so forth. The introduced frequencies are called harmonics.
- Total Harmonic Distortion (THD)
- With an input converter driven by a full-range sinusoidal input signal, total harmonic distortion is the ratio of the signal power in the sinusoidal input signal to the total signal power in the harmonic frequencies resulting from nonlinearity.
- Spurious-Free Dynamic Range (SFDR)
- With an input converter driven by a full-range sinusoidal input signal, the spurious-free dynamic range is the ratio of the sinusoidal input signal power to the signal power at any other frequency having the next-highest signal power. Most often, the spurious frequency is one of the harmonic frequencies caused by nonlinearity. Since the THD measurement includes several harmonic frequencies, but SFDR only includes one, the SFDR figures tends to be slightly higher.
- Signal to Noise+Distortion Ratio (SINAD)
- SINAD is the ratio of the signal power in a full-range sinusoidal input signal to the total power in all other frequencies resulting from the conversion process. This is similar to SNR, except that the signal power in the harmonics is included along with the background noise. SINAD provides an estimate of measurement errors to expect from consistent and random effects in combination.
- Effective Number of Bits (ENOB)
- ENOB is an equivalent way to present SINAD in terms of powers of 2 and "bits" rather than decibels. An ENOB of 14 bits for a 16 bit converter can be loosely interpreted as meaning that variations can be expected in the last 2 bits of each conversion due to nonlinearity and random effects. Accuracy can be extended beyond the levels suggested by ENOB, however, if measurements are repeatable and averaging can be applied to reduce the random effects.
- Settling Time (Transient Response)
- When using multiplexed inputs or dedicated inputs subjected to large step transients, the drive current and bandwidth limitations of amplifiers prevent tracking of instantaneous step edges. Settling time describes the length of sampling interval
ts that should be allowed to give the conversion circuits time to reach the correct values within acceptable accuracy.
- Slewing (Rate Limiting)
- A condition in which an input amplifier is subjected to a large input level change and uses all available current internally for driving its output stage. This results in a fast linear ramp output behavior, rather than tracking the input change accurately. Sinusoidal waveforms with sufficiently large magnitude and frequency will be distorted if the time derivative of the waveform exceeds the slew rate limit.
- Jitter
- Variability in the times at which discrete events takes place. Jitter causes uncertainty about which precise moments a signal sample is captured or a switching event is detected.
- Hold Time
- The amount of time that a signal must be held at a constant level to be sure that other circuits will respond reliably.
- Setup Time
- An amount of time that must be allowed after sending a signal for changes to take effect.
- Latency
- A delay in receiving the results of a conversion. For example, a sample might require 1 microsecond to be transported from the converter device, 2 milliseconds to be moved to buffer memory, and 25 milliseconds to be transferred to host memory. The delays for receiving the data typically do not matter, unless it is important to respond very quickly.
- Crosstalk
- A side effect of stray coupling between signal lines, resulting in small measurement changes that increase apparent correlation between signals measured on the lines. Such effects are typically introduced by capacitive and inductive coupling between lines that are physically close in cabling and on circuit boards.
- Charge injection
- An amount of charge capacitively coupled into converter inputs each time a signal is captured. Though the effects of each charge injection are very small, when the device is clocked at a very high rate, the cumulative effects act like a current flow, interacting with the input circuit impedance and producing an observable shift in the measurements of input signals.
- Charge cross-injection
- A contributor to crosstalk resulting from multiplexer operation. When connected to one line, stray capacitances at the switching device charge up to balance with the line voltage. When switched to a new signal source, the voltage on this capacitance is temporarily out of balance with the new line, causing a very small but rapid surge in charge until voltages again equalize. On signal lines with poor input conditioning, the effects can be amplified by high impedances and stray dynamics. When multiplexer switching occurs at a very high rate, the cumulative effects produce a measurable nonlinear crosstalk effect.
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